Magnetic Strings In Five Dimensional Gauged Supergravity Theories

Magnetic BPS string solutions preserving quarter of supersymmetry are obtained for all abelian gauged d=5 N=2 supergravity theories coupled to vector supermultiplets. Due to a ``generalised Dirac quantization'' condition satisfied by the minimized magnetic central charge, the string metric takes a universal form for all five dimensional gauged theories.Comment: 11 pages, minor typos corrected, published versio

Static N=2 Black Holes For Quadratic Prepotentials

We employ the principle of minimal central charge and study the entropy of N=2 black holes corresponding to the most general quadratic prepotential. We also give a static black hole solution for these models in which the scalar moduli are non constants. Finally, we speculate on the microscopic origin for our solution.Comment: 8 pages, Latex fil

Dimensional Reduction, Gauged D=5 Supergravity and Brane Solutions

The U(1) gauged version of the Strominger-Vafa five dimensional N=2 supergravity with one vector multiplet is obtained via dimensional reduction from the N=1 ten dimensional supergavity. Using such explicit relation between the gauged supergravity theory and ten dimensional supergravity, all known solutions of the five dimensional theory can be lifted up to ten-dimensions. The eleven dimensional solutions can also obtained by lifting the ten-dimensional solutions.Comment: 14 page

Classical Hamiltonian Reduction and Superconformal Algebras

The Polyakov's "soldering procedure" which shows how two-dimensional diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed using the free-field representation of SL(2,R) current algebra. Using this formalism, the relation of Polyakov's method to that of the Hamiltonian reduction becomes transparent. This discussion is then generalised to N=1 superdiffeomorphisms which can be obtained from N=1 super Osp(1,2) gauge transformations. It is also demonstrated that the phase space of the Osp(2,2) supercurrent algebra represented by free superfields is connected to the classical phase space of N=2 superconformal algebra via Hamiltonian reduction.}Comment: 21 pages, revised version contains minor grammatical changes and an update of refernce

Magnetic and Dyonic Black Holes in D=4 Gauged Supergravity

Magnetic and Dyonic solutions are constructed for the theory of abelian gauged N=2 gauged four dimensional supergravity coupled to vector multiplets. The solutions found preserve 1/4 of the supersymmetry.Comment: Latex, 14 page

Restricted Supergauge invariance, N=2 Coadjoint Orbit and N=2 Quantum Supergravity

It is shown that the N=2 superconformal transformations are restricted N=1 supergauge transformations of a supergauge theory with Osp(2,2) as a gauge group. Based on this result, a canonical derivation of the Osp(2,2) current algebra in the superchiral gauge formulation of N=2 supergravity is presented.Comment: 20 page

BPS black holes in N=2 five dimensional AdS supergravity

BPS black hole solutions of U(1) gauged five-dimensional supergravity are obtained by solving the Killing spinor equations. These extremal static black holes live in an asymptotic AdS_5 space time. Unlike black holes in asymptotic flat space time none of them possess a regular horizon. We also calculate the influence, of a particular class of these solutions, on the Wilson loops calculation.Comment: 8 pages, 1 figure, LaTeX, corrected the potentia

Calabi-Yau Black Holes and Enhancement of Supersymmetry in Five Dimensions

BPS electric and magnetic black hole solutions which break half of supersymmetry in the theory of N=2 five-dimensional supergravity are discussed. For models which arise as compactifications of M-theory on a Calabi-Yau manifold, these solutions correspond, respectively, to the two and five branes wrapping around the homology cycles of the Calabi-Yau compact space. The electric solutions are reviewed and the magnetic solutions are constructed. The near-horizon physics of these solutions is examined and in particular the phenomenon of the enhancement of supersymmetry. The solutions for the supersymmetric Killing spinor of the near horizon geometry, identified as $AdS_{3}\times S^{2}$ and $AdS_{2} \times S^{3}$ are also given.Comment: 12 pages, Latex file. CAMS/AU

Towards c=0 Flows

We discuss some implications of the gravitational dressing of the renormalization group for conformal field theories perturbed by relevant operators. The renormalization group flows are defined with respect to the dilatation operator associated with the $J_0^{(0)}$ mode of the $SL(2,R)$ affine algebra. We discuss the possibility of passing under the $c=25$ barrier along renormalization group flows in some models.Comment: LaTex file, 11 pages, QMW Preprint, QMW 94-2

Charged configurations in (A)dS spaces

We construct new backgrounds of d-dimensional gravity with a negative cosmological constant coupled to a m-form field strength. We find a class of magnetically charged anti-de Sitter black holes with m-dimensional Einstein horizon of positive, zero or negative curvature. We also construct a new magnetic co-dimension four brane for the case of m=3. This brane obeys a charge quantization condition of the form q \sim L^2 where q is the magnetic 3-form charge and L is the AdS radius. In addition, we work out some time-dependent solutions.Comment: 17 pages, LaTeX, references adde